www.mathshowcase.infomathshowcase.info
Guides » Fractions » What is 240 as a fraction

What is 240 as a fraction?

Converting integers to fractions can be useful in many situations. Let's go through the steps to convert a decimal 240 to a fraction.

You can try other values to get more familiar with the conversion process.

Often, convert 236 to a fraction or 245 to a fraction, depending on the task.

Understanding the integer “240”

An integer is a whole number without any decimal or fractional parts. For example, 240 is an integer.

To convert an integer to a fraction:

  1. Use the integer as the numerator and 1 as the denominator.
  2. For example, 240 becomes 240/1.
  3. That's it! 240 is the same as 240/1 as a fraction.

Conversion Explanation:

  1. For the numerator:
    • We start with the number 240.
    • By removing the decimal point, we derive the numerator as 240.
  2. For the denominator:
    • Each position after the decimal represents a division by 10.
    • Thus, having 0 positions after the decimal equates to 1 or 100.
  3. Factors:
    • The factors for the numerator and the denominator are numbers that can evenly divide each of them.
    • For instance, the factors of 240 include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240.
    • The factors of 1 comprise , and 1.
  4. Greatest Common Divisor (GCD):
    • It's the largest number that can evenly divide both the numerator and the denominator.
    • In this instance, the GCD for 240 and 1 is 1.

The factors of 240 are:

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240

The factors of 1 are:

1

Solution:

240 = 2401

What is a decimal?

A decimal is a numeral system that includes a point to separate the whole number part from the fractional part. This system makes it easy to work with numbers less than one.

What is a fraction?

A fraction is a mathematical way of showing a part of a whole. It has two parts: the numerator on top and the denominator below, which help express partial values and comparisons.

To convert an integer to a fraction:

  • Convert the fraction: To convert an integer into a fraction, place the integer in the numerator and use 1 as the denominator. For example, the integer 240 becomes the fraction 2401.

Related conversions: